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Finding the Fourth Proportional to 3,691.29, 5,098.11 and 2,862

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Solution

The fourth proportional to 3,691.29, 5,098.11 and 2,862 is: 3,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.29 : 5,098.11 = 2,862 : x
  2. Step 2: Convert to fraction form
    3,691.29/5,098.11 = 2,862/x
  3. Step 3: Cross multiply
    3,691.29x = 5,098.11 × 2,862
  4. Step 4: Simplify right side
    3,691.29x = 14,590,790.82
  5. Step 5: Solve for x
    x = 14,590,790.82/3,691.29
  6. Step 6: Final answer
    x = 3,952.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.